Grade 6: Ratios & Proportional Relationships
Assessment
Describes how the standards and key understandings are addressed by the assessment
Key Understandings
Mathematical Relationships
Students are able to fluently and flexibly make use of
- scalar relationships
- functional relationships
Students understand a ratio as
- a multiplicative comparison of two quantities
- a joining of two quantities in a composed unit (e.g., unit rate)
Student Solution Strategies
Student solution strategies can be generally categorized as follows:
- Doubling/Halving
Multiplying or dividing both parts of the original ratio by two repeatedly
- Scalar Additive
Iterating the original ratio by adding it to itself repeatedly
- Scalar Multiplicative
Multiplying both parts of the ratio by a number
- Unit Rate
Reducing the ratio so that one of the parts is 1
- Multiplicative Comparison
Finding missing values of the ratio by looking at how many times one part is compared to the other
Key Strategies
Unit Rate and Multiplicative Comparison are the two strategies that can demonstrate functional reasoning. However, the identification of the unit rate could result from either scalar or functional relationships. The image to the left illustrates the differences between these two strategies.
Holistic Scoring
Below, student work categorized based on this rubric.
The documents are annotated to describe why we believe they fit into the labeled rubric category. There have been two chosen for each category.
